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Finding the Third Proportional to 153,514.69 and 232,657.31

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Solution

The third proportional to 153,514.69 and 232,657.31 is: 352,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,514.69 : 232,657.31 = 232,657.31 : x
  2. Step 2: Convert to fraction form
    153,514.69/232,657.31 = 232,657.31/x
  3. Step 3: Cross multiply
    153,514.69x = 232,657.31 × 232,657.31
  4. Step 4: Simplify right side
    153,514.69x = 54,129,425,059.72
  5. Step 5: Solve for x
    x = 54,129,425,059.72/153,514.69
  6. Step 6: Final answer
    x = 352,600.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.